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Simplifying 3w + -7(w + -3) = 2(w + -6) Reorder the terms: 3w + -7(-3 + w) = 2(w + -6) 3w + (-3 * -7 + w * -7) = 2(w + -6) 3w + (21 + -7w) = 2(w + -6) Reorder the terms: 21 + 3w + -7w = 2(w + -6) Combine like terms: 3w + -7w = -4w 21 + -4w = 2(w + -6) Reorder the terms: 21 + -4w = 2(-6 + w) 21 + -4w = (-6 * 2 + w * 2) 21 + -4w = (-12 + 2w) Solving 21 + -4w = -12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 21 + -4w + -2w = -12 + 2w + -2w Combine like terms: -4w + -2w = -6w 21 + -6w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + -6w = -12 + 0 21 + -6w = -12 Add '-21' to each side of the equation. 21 + -21 + -6w = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -6w = -12 + -21 -6w = -12 + -21 Combine like terms: -12 + -21 = -33 -6w = -33 Divide each side by '-6'. w = 5.5 Simplifying w = 5.5
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